Numerical investigation of a response probability density function of stochastic vibroimpact systems with inelastic impacts

Abstract The paper is devoted to numerical calculations of a response probability density function of stochastic vibroimpact systems excited by additive Gaussian white noise. An impact in the considered systems is modeled as a classical, inelastic one against motionless barrier(s) with values of a restitution coefficient both very small and close to unity. Certain empirical formulas are derived based on the results of numerical simulation.

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